Maybe something big like:
Maybin to the Indians for Bourn, Swisher, Frasier, Naquin, Mejia
The Indians dump $30M in bad contracts, pick up a short term viable bat in Maybin but give up a couple of excess OF and a project catcher with potential.
Braves get a couple of warm bodies that might rebound and be flippable at the 2016 deadline in Bourn and Swisher. If they do nothing, then you have essentially bought 2 OF and a catching prospect for $30M and the loss of Maybin.
Put Frazier in LF and Naquin in CF and have Mejia working his way through the system. The contracts come off the books after 2016 and the Braves are ready to add another major piece in advance of 2017.